Q. 94.3( 9 Votes )

The vertices of q

Answer :

Given AB = CD.

Construction:

Join AD and BC.

Consider ΔABC and ΔBCD,

⇒ AB = CD [Given]

⇒ ∠ABC = ∠BCD [Vertically opposite angles are equal]

⇒ BC = BC [Common side]

By SAS congruence rule,

⇒ ΔABC ≅ ΔBCD

By CPCT,

⇒ AC = BD

Hence proved.

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